11666400 has 72 divisors (see below), whose sum is σ = 37981944. Its totient is φ = 3110400.

The previous prime is 11666393. The next prime is 11666407. The reversal of 11666400 is 466611.

It is an interprime number because it is at equal distance from previous prime (11666393) and next prime (11666407).

It is a super-2 number, since 2×11666400² = 272209777920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11666407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31 + ... + 4830.

It is an arithmetic number, because the mean of its divisors is an integer number (527527).

Almost surely, 2^11666400 is an apocalyptic number.

11666400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11666400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18990972).

11666400 is an abundant number, since it is smaller than the sum of its proper divisors (26315544).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11666400 is a wasteful number, since it uses less digits than its factorization.

11666400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4884 (or 4871 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 11666400 is about 3415.6112190939. The cubic root of 11666400 is about 226.8013424952.

The spelling of 11666400 in words is "eleven million, six hundred sixty-six thousand, four hundred".